14828845478976 has 189 divisors, whose sum is σ = 42730841826309. Its totient is φ = 4916732083200.

The previous prime is 14828845478969. The next prime is 14828845478981. The reversal of 14828845478976 is 67987454882841.

The square root of 14828845478976 is 3850824.

It is a perfect power (a square), and thus also a powerful number.

14828845478976 is a `hidden beast` number, since 1 + 4 + 8 + 2 + 8 + 8 + 454 + 78 + 97 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10021175309376 + 4807670169600 = 3165624^2 + 2192640^2 .

It is a junction number, because it is equal to n+sod(n) for n = 14828845478895 and 14828845478904.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 25969956771 + ... + 25969957341.

Almost surely, 2^{14828845478976} is an apocalyptic number.

14828845478976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

14828845478976 is the 3850824-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14828845478976

14828845478976 is an abundant number, since it is smaller than the sum of its proper divisors (27901996347333).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14828845478976 is an frugal number, since it uses more digits than its factorization.

14828845478976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1722 (or 857 counting only the distinct ones).

The product of its digits is 6936330240, while the sum is 81.

The spelling of 14828845478976 in words is "fourteen trillion, eight hundred twenty-eight billion, eight hundred forty-five million, four hundred seventy-eight thousand, nine hundred seventy-six".